Rectilinear Figures – Quadrilaterals Quiz - ICSE Class 9 Mathematics
Free practice quiz: Rectilinear Figures – Quadrilaterals (ICSE Class 9 Mathematics). 59 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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In a parallelogram ABCD, if angle A = 110 degrees, then angle B is:
- 110 degrees
- 70 degrees
- 90 degrees
- 180 degrees
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Answer: B. 70 degrees
In a parallelogram, consecutive angles are supplementary. Therefore, angle A + angle B = 180 degrees. Given angle A = 110 degrees, angle B = 180 - 110 = 70 degrees.
In a trapezium ABCD, AB || DC. If AD = BC, then it is:
- A parallelogram
- A rectangle
- An isosceles trapezium
- A rhombus
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Answer: C. An isosceles trapezium
A trapezium with equal non-parallel sides is defined as an isosceles trapezium.
If the midpoints of the sides of a rectangle are joined in order, the resulting figure is a:
- Square
- Rhombus
- Rectangle
- Kite
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Answer: B. Rhombus
When the midpoints of the sides of any quadrilateral are joined in order, the resulting figure is a parallelogram. If the original quadrilateral is a rectangle, the diagonals of the rectangle are equal and bisect each other. Joining the midpoints of the sides of a rectangle results in a rhombus. This can be shown using midpoint theorem on triangles formed by diagonals.
If the interior angle of a regular polygon is 150 degrees, how many sides does it have?
- 10
- 12
- 15
- 18
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Answer: B. 12
For a regular polygon with n sides, each interior angle is given by [(n-2) * 180] / n. We are given that each interior angle is 150 degrees. So, [(n-2) * 180] / n = 150. This simplifies to 180n - 360 = 150n. Rearranging, 180n - 150n = 360, which gives 30n = 360. Therefore, n = 360 / 30 = 12. The polygon has 12 sides.
If one of the angles of a parallelogram is 90 degrees, then it is a:
- Rhombus
- Square
- Rectangle
- Kite
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Answer: C. Rectangle
A parallelogram with one right angle has all its angles as right angles, making it a rectangle. A square is a special type of rectangle, but 'Rectangle' is the direct classification.